Final answer:
To calculate the percent of increase of the exponential function y = 4(1.25)^t, we need to find the ratio of the final value to the initial value and subtract 1. The correct answer is option a) 25%.
Step-by-step explanation:
To calculate the percent of increase of the exponential function y = 4(1.25)^t, we need to find the ratio of the final value to the initial value and subtract 1.
The final value in this case is 4(1.25)^t, and the initial value is 4. So, the percent of increase would be [(4(1.25)^t - 4)/4] * 100%. Evaluating this expression for any value of t will give you the percentage of increase.
For example, if t = 1, then the exponential function becomes y = 4(1.25)^1 = 5. The percent of increase would be [(5 - 4)/4] * 100% = 25%. Therefore, the correct answer is option a) 25%.